# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X1))))<=>?[X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))&(![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X4))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4)))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X3))))))),file('i/f/Temporal_Logic/NEXT__LINORD', ch4s_Temporalu_u_Logics_NEXTu_u_LINORD)).
fof(2, axiom,![X5]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X5))),file('i/f/Temporal_Logic/NEXT__LINORD', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,![X13]:![X18]:![X19]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X13)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X13))))),file('i/f/Temporal_Logic/NEXT__LINORD', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(17, axiom,![X18]:![X19]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X18))),file('i/f/Temporal_Logic/NEXT__LINORD', ah4s_arithmetics_LESSu_u_EQ)).
fof(19, axiom,![X20]:![X8]:s(t_bool,h4s_temporalu_u_logics_next(s(t_fun(t_h4s_nums_num,t_bool),X20),s(t_h4s_nums_num,X8)))=s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X20),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))))),file('i/f/Temporal_Logic/NEXT__LINORD', ah4s_Temporalu_u_Logics_NEXT0)).
fof(20, axiom,![X18]:![X19]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X19))))),file('i/f/Temporal_Logic/NEXT__LINORD', ah4s_arithmetics_NOTu_u_LEQ)).
fof(21, axiom,![X18]:![X19]:(~(s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,X18))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X19))),s(t_h4s_nums_num,X18))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X19)))))),file('i/f/Temporal_Logic/NEXT__LINORD', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
# SZS output end CNFRefutation
